Search a number
-
+
512166240 = 253654391
BaseRepresentation
bin11110100001110…
…000100101100000
31022200201202000000
4132201300211200
52022103304430
6122453300000
715456225015
oct3641604540
91280652000
10512166240
11243117093
12123634600
1382154961
144c04170c
152ee6ce60
hex1e870960

512166240 has 168 divisors, whose sum is σ = 1814572368. Its totient is φ = 136546560.

The previous prime is 512166227. The next prime is 512166241. The reversal of 512166240 is 42661215.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512166241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114445 + ... + 118835.

It is an arithmetic number, because the mean of its divisors is an integer number (10801026).

Almost surely, 2512166240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907286184).

512166240 is an abundant number, since it is smaller than the sum of its proper divisors (1302406128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512166240 is an equidigital number, since it uses as much as digits as its factorization.

512166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 512166240 is about 22631.0901195678. The cubic root of 512166240 is about 800.0865739642.

The spelling of 512166240 in words is "five hundred twelve million, one hundred sixty-six thousand, two hundred forty".